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Effective Transverse Relaxation Time Formula

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Effective Transverse Relaxation Time also known as dephasing time, is a combination of transverse relaxation and magnetic field inhomogeneity. Check FAQs

T2' = \frac{1}{π \cdot Δν 1/2}

T2^' - Effective Transverse Relaxation Time?Δν_1/2 - Observed Width at Half-Height?π - Archimedes' constant?

Effective Transverse Relaxation Time Example

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Here is how the Effective Transverse Relaxation Time equation looks like with Values.

Here is how the Effective Transverse Relaxation Time equation looks like with Units.

Here is how the Effective Transverse Relaxation Time equation looks like.

21.2207 = \frac{1}{3.1416 \cdot 0.015}

21.2207s = \frac{1}{3.1416 \cdot 0.0151/s}

21.2207 = \frac{1}{3.1416 \cdot 0.015}

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Effective Transverse Relaxation Time Solution

Follow our step by step solution on how to calculate Effective Transverse Relaxation Time?

FIRST Step Consider the formula

T2' = \frac{1}{π \cdot Δν 1/2}

Next Step Substitute values of Variables

∴

T2' = \frac{1}{π \cdot 0.0151/s}

Next Step Substitute values of Constants

∴

T2' = \frac{1}{3.1416 \cdot 0.0151/s}

Next Step Prepare to Evaluate

∴

T2' = \frac{1}{3.1416 \cdot 0.015}

Next Step Evaluate

∴

T2' = 21.2206590789194s

LAST Step Rounding Answer

∴

T2' = 21.2207s

Effective Transverse Relaxation Time Formula Elements

Variables

Constants

Effective Transverse Relaxation Time

Effective Transverse Relaxation Time also known as dephasing time, is a combination of transverse relaxation and magnetic field inhomogeneity.

Symbol: T2^'

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Effective Transverse Relaxation Time

Observed Width at Half-Height

Observed Width at Half-Height is the phenomenological linewidth of the resonance lineshape and is a primary factor affecting both resolution and signal-to-noise ratio of NMR spectra.

Symbol: Δν_1/2

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Observed Width at Half-Height

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Nuclear Magnetic Resonance Spectroscopy category

Go Chemical Shift in Nuclear Magnetic Resonance Spectroscopy

δ = (\frac{ν - ν °}{ν °}) \cdot 10^{6}

Go Gyromagnetic Ratio given Larmor Frequency

γ = \frac{ν L \cdot 2 \cdot π}{(1 - σ) \cdot B 0}

Go Nuclear Larmor Frequency given Shielding Constant

ν L = (1 - σ) \cdot (\frac{γ \cdot B 0}{2 \cdot π})

Go Local Distribution to Shielding Constant

σ local = σ d + σ p

How to Evaluate Effective Transverse Relaxation Time?

Effective Transverse Relaxation Time evaluator uses Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height) to evaluate the Effective Transverse Relaxation Time, The Effective Transverse Relaxation Time formula is defined as the reciprocal of π times the line-width at half height. Moreover, it is the time needed by the nuclear spins to return to equilibrium following a disturbance. Effective Transverse Relaxation Time is denoted by T2^' symbol.

How to evaluate Effective Transverse Relaxation Time using this online evaluator? To use this online evaluator for Effective Transverse Relaxation Time, enter Observed Width at Half-Height (Δν_1/2) and hit the calculate button.

FAQs on Effective Transverse Relaxation Time

What is the formula to find Effective Transverse Relaxation Time?

The formula of Effective Transverse Relaxation Time is expressed as Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height). Here is an example- 21.22066 = 1/(pi*0.015).

How to calculate Effective Transverse Relaxation Time?

With Observed Width at Half-Height (Δν_1/2) we can find Effective Transverse Relaxation Time using the formula - Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height). This formula also uses Archimedes' constant .

Can the Effective Transverse Relaxation Time be negative?

Yes, the Effective Transverse Relaxation Time, measured in Time can be negative.

Which unit is used to measure Effective Transverse Relaxation Time?

Effective Transverse Relaxation Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Effective Transverse Relaxation Time can be measured.

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